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2074222656 = 263211229761
BaseRepresentation
bin111101110100010…
…0010000001000000
312100120000102120100
41323220202001000
513222000111111
6541453442400
7102254413242
oct17350420100
95316012510
102074222656
11974932200
1249a7a0400
13270963bac
1415969a092
15c2174756
hex7ba22040

2074222656 has 126 divisors (see below), whose sum is σ = 6535229246. Its totient is φ = 628531200.

The previous prime is 2074222643. The next prime is 2074222669. The reversal of 2074222656 is 6562224702.

2074222656 is a `hidden beast` number, since 207 + 422 + 26 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2074222643) and next prime (2074222669).

It can be written as a sum of positive squares in only one way, i.e., 1445216256 + 629006400 = 38016^2 + 25080^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2074222656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 54816 + ... + 84576.

Almost surely, 22074222656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2074222656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267614623).

2074222656 is an abundant number, since it is smaller than the sum of its proper divisors (4461006590).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2074222656 is a wasteful number, since it uses less digits than its factorization.

2074222656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29801 (or 29777 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2074222656 is about 45543.6346375649. The cubic root of 2074222656 is about 1275.3179073472.

The spelling of 2074222656 in words is "two billion, seventy-four million, two hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 132 144 176 192 198 242 264 288 352 363 396 484 528 576 704 726 792 968 1056 1089 1452 1584 1936 2112 2178 2904 3168 3872 4356 5808 6336 7744 8712 11616 17424 23232 29761 34848 59522 69696 89283 119044 178566 238088 267849 327371 357132 476176 535698 654742 714264 952352 982113 1071396 1309484 1428528 1904704 1964226 2142792 2618968 2857056 2946339 3601081 3928452 4285584 5237936 5714112 5892678 7202162 7856904 8571168 10475872 10803243 11785356 14404324 15713808 17142336 20951744 21606486 23570712 28808648 31427616 32409729 43212972 47141424 57617296 62855232 64819458 86425944 94282848 115234592 129638916 172851888 188565696 230469184 259277832 345703776 518555664 691407552 1037111328 2074222656